POST UTME UNILORIN 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality $x^2 + 4x + 4 > 0$.
A. \( -\infty, -2 \) \cup \( 2, \infty \)
B. \( -\infty, 2 \) \cup \( 2, \infty \)
C. \( -\infty, -2 \) \cup \( -2, 2 \) \cup \( 2, \infty \)
D. \( -\infty, -2 \) \cup \( 2, \infty \)
Question 2
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 3
In the diagram below, $ABCD$ is a square with side length $s$. If $E$ is the midpoint of $AD$, find the length of $BE$.
A. \frac{s}{2}
B. s
C. \frac{\sqrt{2}s}{2}
D. s\sqrt{2}
Question 4
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 5
Solve the inequality: x^2 + 4x - 5 > 0
A. \( -∞, -1 \) ∪ ( 5, ∞ )
B. \( -∞, -5 \) ∪ ( 1, ∞ )
C. \( -∞, 1 \) ∪ ( 5, ∞ )
D. \( -∞, -5 \) ∪ ( 1, ∞ )
Question 6
Find the equation of the circle with center $\( -2, 3 \)$ and radius $4$.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 7
Find the value of x in the equation \( \frac{x}{2} + 3 = 7 \).
A. 8
B. 10
C. 12
D. 14
Question 8
Find the area under the curve y = x^2 from x = 0 to x = 2.
A. \frac{8}{3}
B. \frac{16}{3}
C. \frac{32}{3}
D. \frac{64}{3}
Question 9
A bag contains 5 red marbles, 8 blue marbles, and 12 green marbles. If a marble is drawn at random, what is the probability that it is not blue?
A. \( \frac{1}{3} \)
B. \( \frac{2}{5} \)
C. \( \frac{3}{5} \)
D. \( \frac{4}{5} \)
Question 10
Find the derivative of the function ( f(x) = 3x^2 - 2x + 1 ).
A. 6x - 2
B. 6x + 2
C. 3x^2 - 2
D. 3x^2 + 2
Question 11
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.8413
B. 0.8413
C. 0.8413
D. 0.8413
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -3 \) ∪ \( -1, ∞ \)
D. \( -∞, 1 \) ∪ (3, ∞)
Question 13
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. -2
B. -3
C. -1
D. 1
Question 14
Let X and Y be indep\endent random variables with probability density functions f_X(x) = \\begin{cases} 2x, & 0 < x < 1 \\ 0, & \text{otherwise} \\end{cases} and f_Y(y) = \\begin{cases} 3y^2, & 0 < y < 1 \\ 0, & \text{otherwise} \\end{cases}. Find P\( X > Y \).
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{3}{4}
Question 15
Find the area under the curve $y = x^2$ from $x = 0$ to $x = 2$.
A. \frac{8}{3}
B. \frac{4}{3}
C. \frac{2}{3}
D. \frac{1}{3}

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: